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Singular Physics as the Missing Link in the Architecture of the Universe

V.I.Zhiglov - Sankt-Penersburg, vzhiglov@mail.ru

Abstract

Modern physics is confronted with fundamental contradictions: the nature of dark energy and dark matter remains elusive, a quantum theory of gravity is absent, and the singularities of black holes and the Big Bang indicate the incompleteness of existing models. This review proposes a new paradigm — Singular Physics — as the missing link in the architecture of the Universe.

The approach is based on a multilevel structure of reality, where our 3+1-dimensional Universe emerges from a phase transition of a fundamental 2D quantum vacuum. The article provides a detailed analysis of an extended theory of relativity, allowing for superluminal (v > c) states and tachyonic fields, alongside modified quantum mechanics with a decoherence operator for wave function collapse in strong gravitational fields.

We present and interpret results from laboratory modeling (Technion experiment, 2026) and astronomical observations (object 1ES 1927+654, event AT2018cow) as evidence for phase transitions and quantum explosions. A hierarchical model is proposed: a 1D primary singularity, a 2D quantum vacuum, and a 3D crystallized space-time. The framework offers a fresh perspective on the dynamics of time, entropy asymmetry, and the quantum nature of reality.

Keywords: singular physics, extended relativity, tachyons, quantum decoherence, multilevel Universe, superluminal barrier, phase transitions, cosmology.

Introduction: The Fundamental Crisis and the Role of Singular Physics

1.1. Statement of the Problem: A Review of Unresolved Questions in Modern Physics

Despite its remarkable successes in describing both the microcosm and the macrocosm, modern theoretical physics is experiencing a profound conceptual crisis. This crisis manifests as a series of fundamental contradictions and unresolved problems that challenge the completeness and internal consistency of existing models.

Key unresolved questions include:

· The Problem of Dark Matter and Dark Energy. Observational astronomy convincingly demonstrates that visible (baryonic) matter constitutes only about 5% of the total energy density of the Universe. The remaining 95% is attributed to dark matter (27%) and dark energy (68%). The nature of these components remains unknown. Dark matter is not described by the Standard Model of particles, and dark energy, responsible for the accelerated expansion of the Universe, lacks a satisfactory explanation within the frameworks of General Relativity and quantum field theory.

· The Problem of Singularities. General Relativity (GR) predicts the existence of gravitational singularities—points of infinite density and space-time curvature. Such objects arise at the center of black holes and at the initial moment of the Big Bang. At these points, known physical laws cease to function, indicating the incompleteness of GR and the need for a new, more general theory.

· The Absence of a Quantum Theory of Gravity. The Standard Model and GR—the two greatest theories of the 20th century—are fundamentally incompatible. Attempts to unify them within a quantum theory of gravity (e.g., string theory, loop quantum gravity) have not yet led to a verifiable and generally accepted model. This hinders our understanding of early Universe physics, the internal structure of black holes, and the very nature of space-time.

These problems indicate that modern physics has reached the limits of applicability of its fundamental paradigms. Resolving these contradictions requires not merely modifying existing theories but revising the very foundations of our understanding of reality.

In this context, singular physics is proposed as a new conceptual framework capable of becoming the missing link in the architecture of the Universe. It postulates the existence of a multilevel structure of reality and considers superluminal transitions and dimensional phase transformations as key mechanisms for the evolution of the Universe.

1.2. Hypothesis: Singular Physics as a Universal Theory Unifying Quantum Mechanics, Relativity, and Cosmology

The proposed approach is based on a central hypothesis: singular physics constitutes a universal theoretical framework capable of consistently unifying the key domains of modern fundamental science—quantum mechanics, general and special relativity, and cosmology.

The essence of the hypothesis is that the observed 3+1-dimensional Universe (three spatial dimensions and one temporal) is not the fundamental level of reality, but rather the result of a phase transition from a more fundamental state. This state is a 2-dimensional quantum vacuum, which, in turn, arises from the overcoming of a superluminal barrier by matter and energy originating from a state of primary one-dimensional singularity.

Thus, singular physics postulates a multilevel architecture of the Universe, where each level is characterized by its own fundamental laws and space-time dimensionality:

· One-Dimensional Level (Primary Singularity): A state of absolute compression, preceding the birth of familiar dimensions. Here, all interactions occur instantaneously (outside of time), and the only mode of evolution is a discontinuous leap over the superluminal barrier.

· Two-Dimensional Level (Quantum Vacuum): An ocean of tachyons that emerged as a result of overcoming the barrier. At this level, cause-and-effect relationships are replaced by non-local correlations (quantum entanglement), and interaction with gravity or an observer leads to decoherence and the collapse of the 2D superposition into 3D reality.

· Three-Dimensional Level (Crystallized Space-Time): Our familiar world, where linear time and three-dimensional space emerge as a way to structure the flow of tachyons. The laws of the Standard Model and General Relativity are considered as a special, low-energy limit of the more general laws of singular physics.

This hypothesis offers a new perspective on the nature of dark matter and energy (as manifestations of tachyonic fields of the two-dimensional level), provides a solution to the problem of singularities (by considering them as phase transition points between levels), and lays the foundation for a quantum theory of gravity, where gravity acts as a decoherence operator linking different dimensional realities.

1.3. Object and Subject of Research

Within this work, the object and subject of research are clearly delineated, allowing for a focused scientific analysis of the key aspects of the proposed hypothesis.

The object of research is the fundamental laws of nature. This is the most general category, encompassing all principles and regularities governing the behavior of matter, energy, space, and time at all scales of the Universe—from subatomic particles to entire cosmological structures. The research is directed towards discovering deeper, universal principles underlying known physical theories.

The subject of research is the specific mechanisms and processes that, according to the proposed hypothesis, ensure the formation of a multilevel structure of reality. In particular, the focus is on:

· Mechanisms for the transition of matter and energy through the superluminal barrier (v>c). This includes the theoretical description of physical conditions under which overcoming the speed of light becomes possible, as well as an analysis of changes in the properties of matter (e.g., the emergence of an imaginary rest mass) during transition into a tachyonic state.

· Processes for forming a multilevel structure of reality. The subject of analysis is phase transitions between different dimensional levels of the Universe: from a primary one-dimensional singularity to a two-dimensional quantum vacuum and the subsequent crystallization of three-dimensional space-time.

Thus, if the object is the very "architecture" of natural laws, then the subject is the "construction processes" and "technologies" (in a physical sense) that create the observed complexity and hierarchy of the Universe.

1.4. Methodology: Synthesis of Theoretical Physics, Mathematical Modeling, and Astronomical Data Analysis

To construct and verify the new theoretical paradigm outlined in this work, a comprehensive, interdisciplinary methodology is applied. It is based on a synthesis of three key approaches that allow not only for formulating a hypothesis but also for checking its consistency and correspondence with observable reality.

· Synthesis of Theoretical Physics. The foundation of the research is the development of new mathematical and conceptual tools. This stage includes:

· Generalization of relativity and quantum mechanics: formulating an extended theory of relativity that allows for superluminal (v>c) states and imaginary mass, as well as modifying the Schrödinger equation to account for strong gravitational fields through the introduction of a decoherence operator.

· Construction of tachyon field theory: postulating a scalar field with negative mass as a carrier of dark energy and a key element of the two-dimensional level of reality.

· Mathematical Modeling. The developed theoretical apparatus is implemented in rigorous mathematical models that allow for quantitative analysis and obtaining verifiable consequences. This stage includes:

· Derivation of energy transition equations: calculating the energy required to overcome the light barrier and analyzing the behavior of physical quantities in the superluminal region.

· Modeling phase transitions: creating models describing both the collapse of 3D structures into 2D vacuum and subsequent crystallization.

· Analysis of Astronomical Data. A key element of the methodology is comparing theoretical predictions with observational results. This approach provides empirical significance to the hypothesis. The analysis is conducted in two directions:

· Laboratory modeling: critical review and interpretation of experimental results on observing superluminal group velocities (e.g., Technion experiment, 2026) as possible laboratory confirmation of tachyonic states.

· Observational astronomy: comparing theoretical models with data on transient cosmic phenomena. In particular, we analyze the disappearance of an accretion disk around object 1ES 1927+654 and characteristics of event AT2018cow ("the Cow") as potential astrophysical manifestations of phase transitions and quantum explosions predicted by singular physics.

It is this integrated approach, combining fundamental theory, rigorous mathematical apparatus, and observational verification, that ensures the scientific validity and novelty of this work.